The weights of a calf taken at weekly intervals are given below. Fit a straight line using the method of least squares and calculate the average rate of growth per week. Age (X) Weight (Y) Age (X) Weight (Y) 52-5 58.7 65-0 70-2 75-4 81-1 87-2 95-5 102-2 108-4 10 Also estimate the weight of the calf when age is (i) 12 weeks (i) 15 weeks. 67898 1234S
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- Q.2: The population of the germs grown in a specific lab environment has been measured to be 600, 700, and 1000 at times t 0, 1, and 2 hours. Find the curve which gives the best least squares fit to the given population points. Find the coefficients C and D of the best curve. Also proceed to find the error vector that would demonstrate the measurement error / tolerance in population sizem.Pfizer claims that their COVID-19 vaccine is 95percent effective. Suppose that in a clinical trial test, 960 out of 1000 subjects have received protection from the virus. Test the claim using two tailed test at 0.01 level.( Disregard the continuity correction in your solution). a.) State the null and alternative hypothesis b.) Calculate the critical region c.) What is the t-value/ z-valueA study was done to compare the birth weight of newborn babies from the general population to a group of 24 babies born to mothers who smoked during pregnancy. The researcher was testing her prediction of an average lower birth weight for babies born to smokers. The mean birth weight in the population was reported to be 3.5 kg and birth weight in the sample was M = 3.0 kg. Results from the t-test used in data analysis showed a t-value = 5.35, p = .02. No calculations are required here. Type in your answers to the following questions in the space below. 1) which of the 3 t-tests is the proper one to use? 2) Write the Null and Alternative Hypotheses for this study in a sentence, including the value of mu. 3) Write an APA conclusion for this study to report the results. This sentence should include the IV and DV, significance, APA stats, and the M.
- Vehicle breakdowns are equally likely to occur at any point on a 10 kilometer stretch of a given expressway. An emergency recovery truck is stationed at one end of this stretch of expressway. Assume that the recovery truck travels at a constant speed of 50 kilometers/hour. What is the expected (average) time taken for the recovery truck to reach a vehicle that breaks down on this stretch of expressway?Design a 3rd order Least-squares function approximation to interpolate between the mid between (2n and 3") for a dataset as chosen by you. Compute the LS model error.Data from a recent year showed that 55% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 135 of the 240 students, it trained that year were accepted. Assume these trainees were representative of the population of applicants. Has the company demonstrated a real improvement over the average? What is the P-value?
- Calculate SSb and SSw Calculate dfb and dfw Calculate MSb and MSw Calculate F Identify the critical F-value, compare it to F-observed, and state whether you should accept or reject the null hypothesis.Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 1 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 2 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 3 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 4 5 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 5 6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 6 7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 7 8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 8 9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 9 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 10 11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757 11 12 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.299 12 13 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736…A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n = 16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each student's reaction time is measured. The scores for the sample averaged M = 220 milliseconds with SS = 6000. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Make a point estimate and a 95% confidence interval estimate for the treated population mean.
- The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.2 mm. Round values to 4 decimal places when possible. f. P(x > 3.4 | x > 1.2) = h. Find the minimum for the upper quartile.The chi square statistics please answer and show work on solving x2 critical value and x2Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…
